2368649240 has 128 divisors (see below), whose sum is σ = 5736960000. Its totient is φ = 878169600.

The previous prime is 2368649237. The next prime is 2368649249. The reversal of 2368649240 is 429468632.

It is a super-2 number, since 2×2368649240² = 11220998444305155200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2368649191 and 2368649200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2368649249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7155875 + ... + 7156205.

It is an arithmetic number, because the mean of its divisors is an integer number (44820000).

Almost surely, 2^2368649240 is an apocalyptic number.

2368649240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2368649240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868480000).

2368649240 is an abundant number, since it is smaller than the sum of its proper divisors (3368310760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2368649240 is a wasteful number, since it uses less digits than its factorization.

2368649240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The square root of 2368649240 is about 48668.7706851118. The cubic root of 2368649240 is about 1333.0105432501.

The spelling of 2368649240 in words is "two billion, three hundred sixty-eight million, six hundred forty-nine thousand, two hundred forty".